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Finding the Fourth Proportional to 7,852.43, 10,835.31 and 4,867.18

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Solution

The fourth proportional to 7,852.43, 10,835.31 and 4,867.18 is: 6,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.43 : 10,835.31 = 4,867.18 : x
  2. Step 2: Convert to fraction form
    7,852.43/10,835.31 = 4,867.18/x
  3. Step 3: Cross multiply
    7,852.43x = 10,835.31 × 4,867.18
  4. Step 4: Simplify right side
    7,852.43x = 52,737,404.13
  5. Step 5: Solve for x
    x = 52,737,404.13/7,852.43
  6. Step 6: Final answer
    x = 6,716.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.